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Finding the Fourth Proportional to 340.89, 470.36 and 193.49

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Solution

The fourth proportional to 340.89, 470.36 and 193.49 is: 266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.89 : 470.36 = 193.49 : x
  2. Step 2: Convert to fraction form
    340.89/470.36 = 193.49/x
  3. Step 3: Cross multiply
    340.89x = 470.36 × 193.49
  4. Step 4: Simplify right side
    340.89x = 91,006.64
  5. Step 5: Solve for x
    x = 91,006.64/340.89
  6. Step 6: Final answer
    x = 266.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.